{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PHydro-cover-small.png\">\n",
    "*This is the Jupyter notebook version of the [Python in Hydrology](http://www.greenteapress.com/pythonhydro/pythonhydro.html) by Sat Kumar Tomer.*\n",
    "*Source code is available at [code.google.com](https://code.google.com/archive/p/python-in-hydrology/source).*\n",
    "\n",
    "*The book is available under the [GNU Free Documentation License](http://www.gnu.org/copyleft/fdl.html). If you have comments, corrections or suggestions, please send email to satkumartomer@gmail.com.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [6. Spatial Data](06.00-Spatial-Data.ipynb) | [Contents](Index.ipynb) | [Geoinformation](06.02-Geoinformation.ipynb) >"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6.1 空间数据类型\n",
    "\n",
    "栅格和矢量是两种在GIS(地理信息系统)中存储和操作影像和图形数据的基础数据结构。栅格影像由单个的像素点形成，而且每个空间位置或分辨率元素拥有一个像素点。这个像素点关联的像素值表示属性，例如颜色、高程或ID值。矢量数据由点和线组成，这是几何与数学上的关联。使用坐标存储点，例如，二维点存储为(x,y)。线存储为一些列的点对，其中每一对代表一条直线段，例如(x1,y1)和(x2,y2)表示从(x1,y1)到(x2,y2)的线。\n",
    "\n",
    "我们将使用一些数据函数创建一些栅格数据，然后也为它添加噪音。我们将保留所有数据(包含噪音和没有噪音的)到未来使用。`np.mgrid`被用于创建网格点。使用`plt.matshow`函数绘制数据，这个函数是一个简单的用来可视化二维数组的函数。没有噪音的数据如图6.1所示，被噪音污染的数据如图6.2所示。没有噪音的数据显示出系统的行为，而在添加噪音的数据中是模糊的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2818dad4828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "# generate some synthetic data\n",
    "X, Y = np.mgrid[0:101, 0:101]\n",
    "data = np.sin((X**2 + Y**2)/25)\n",
    "data_noisy = data + np.random.random(X.shape)\n",
    "\n",
    "# plot the data\n",
    "plt.matshow(data)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>图6.1:虚拟数据创建</center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21ea0f03748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(data_noisy)\n",
    "plt.colorbar(shrink=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>图6.2:噪声干扰下的虚拟数据</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们也可以使用一些点来生成矢量数据。矢量数据如图6.3所示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21ea1e9d208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# vector data\n",
    "vector_x = [10,7,24,16,15,10]\n",
    "vector_y = [10,23,20,14,7,10]\n",
    "\n",
    "#plot vector data\n",
    "plt.clf()\n",
    "plt.plot(vector_x, vector_y)\n",
    "plt.axis((5,25,5,25))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>图6.3：矢量数据</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "空间地理数据可以分类城两个主要的部分。在第一部分，我们关于一些特征的信息，像一个两维数组，显示高程的空间变化等。在第二部分，我们有关于数据坐标的信息。一个典型的地理空间数据处理流程如流程图6.4所示。我们有地理空间数据，我们将特征信息和坐标信息分离开，然而我们单独处理它们，最终，在处理完后我们再合并它们。特征信息的处理可以是一些数学运算，对于坐标信息，可以进行一些坐标变换等。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>图6.4:显示处理地理空间数据的典型链流程图</center>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
